Baete said that some savings could be found by improving processes in administration, but he did not elaborate on specific measures for lowering costs. The insurer has already begun trimming costs at its German property-casualty division, a move that will involve job cuts.

Allianz also said that it was open to investing in offshore wind projects as it seeks higher returns than the 1.5 percent offered by 10-year German sovereign debt. It is already active in a number of onshore projects, which yield a gross margin of between 7 and 9 percent.

The Munich-based insurer could consider investing sums as large as 1 billion euros ($1.3 billion) in offshore wind farms if the project and preconditions prove attractive enough, Baete said.

By the end of this year the company will have invested about 1.5 billion euros in solar and wind parks.

Separately, Baete said that private investors in Greek bonds should not be the only ones to bear the brunt of a bond haircut and that the status of other investors, such as the International Monetary Fund and the European Central Bank, should be clear from the start. A bond haircut is when investors effectively accept that their money will not be repaid in full.